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Simplifying (4x + -22) + (10x + -4) = (x + 11) Reorder the terms: (-22 + 4x) + (10x + -4) = (x + 11) Remove parenthesis around (-22 + 4x) -22 + 4x + (10x + -4) = (x + 11) Reorder the terms: -22 + 4x + (-4 + 10x) = (x + 11) Remove parenthesis around (-4 + 10x) -22 + 4x + -4 + 10x = (x + 11) Reorder the terms: -22 + -4 + 4x + 10x = (x + 11) Combine like terms: -22 + -4 = -26 -26 + 4x + 10x = (x + 11) Combine like terms: 4x + 10x = 14x -26 + 14x = (x + 11) Reorder the terms: -26 + 14x = (11 + x) Remove parenthesis around (11 + x) -26 + 14x = 11 + x Solving -26 + 14x = 11 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -26 + 14x + -1x = 11 + x + -1x Combine like terms: 14x + -1x = 13x -26 + 13x = 11 + x + -1x Combine like terms: x + -1x = 0 -26 + 13x = 11 + 0 -26 + 13x = 11 Add '26' to each side of the equation. -26 + 26 + 13x = 11 + 26 Combine like terms: -26 + 26 = 0 0 + 13x = 11 + 26 13x = 11 + 26 Combine like terms: 11 + 26 = 37 13x = 37 Divide each side by '13'. x = 2.846153846 Simplifying x = 2.846153846
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